{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 数据科学\n",
    "### 1. numpy\n",
    "  - 矩阵运算\n",
    "  - 随机整数\n",
    "  - 随即小数\n",
    "  - np.linalg  线性代数库\n",
    "  - x.I 求转置矩阵\n",
    "  - x.T 求逆矩阵\n",
    "### 2. pandas\n",
    "  - 对numpy的一个补充，可以对数据进行一个类似于表格的整理 \n",
    "  - 方便与外部数据进行交互 例如很方便的读写 .xlsx,.csv\n",
    "### 3.matplotlib 画图\n",
    "  - conda install matplotlib\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "x= [[1,2,3],[4,5,6],[7,8,9]]\n",
    "x"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "#矩阵运算\n",
    "x = np.matrix([[1,2,3],[4,5,6],[7,8,9]])\n",
    "# x + x\n",
    "print(x @ x)  #矩阵乘法\n",
    "x.shape"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "x = np.array([[[1,2,3],[4,5,6],[7,8,9]]]) #三维数组\n",
    "x,x.shape   #x.shape 用于检测维度"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "np.random.randint(1,10)   #1和10之间的随机整数（左闭右开，永远也不会随机出10）\n",
    "#np.random.randint(1,2)    #永远是1\n",
    "#第三个参数是size 生成一个三乘三的数组 数组元素为[1,10)的随机数\n",
    "np.random.randint(1,10,(3,3))  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "np.random.rand(3,3)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "m = np.matrix([[6, 6, 3],\n",
    "       [5, 2, 1],\n",
    "       [4, 5, 2]])\n",
    "print(m.I) #逆矩阵\n",
    "print(m.T) #转置矩阵\n",
    "m.I,m.T\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "import pandas as pd"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "d = pd.DataFrame([[1,2,3],[4,5,6],[7,8,9]])\n",
    "d"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "d = pd.DataFrame({\n",
    "    \"1月\":{\n",
    "        \"1日\":100,\n",
    "        \"2日\":50\n",
    "    },\n",
    "    \"2月\":{\n",
    "        \"1日\":1001,\n",
    "        \"2日\":501\n",
    "    }\n",
    "})\n",
    "d"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 118,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>Jan</th>\n",
       "      <th>Feb</th>\n",
       "      <th>Mar</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>day1</th>\n",
       "      <td>6</td>\n",
       "      <td>5</td>\n",
       "      <td>4</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>day2</th>\n",
       "      <td>6</td>\n",
       "      <td>2</td>\n",
       "      <td>5</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>day3</th>\n",
       "      <td>3</td>\n",
       "      <td>1</td>\n",
       "      <td>2</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "      Jan  Feb  Mar\n",
       "day1    6    5    4\n",
       "day2    6    2    5\n",
       "day3    3    1    2"
      ]
     },
     "execution_count": 118,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "d = pd.DataFrame([[6, 5, 4],\n",
    "         [6, 2, 5],\n",
    "         [3, 1, 2]],['day1','day2','day3'],['Jan','Feb','Mar'])\n",
    "d"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "d = pd.DataFrame(m,['1r','2ri','3ri'],['1yue','2yue','3yue'])\n",
    "d,d['1yue']['1r'],d['1yue']"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 103,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(  Unnamed: 0   1月  2月  3月\n",
       " 0         1日  100  99  66\n",
       " 1         2日  101  99  67\n",
       " 2         3日  102  99  68,\n",
       " 0    100\n",
       " 1    101\n",
       " 2    102\n",
       " Name: 1月, dtype: int64)"
      ]
     },
     "execution_count": 103,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# xl = pd.read_excel(r'D:\\code/python-learning\\test.xlsx') #windows下输入路径需要加r\n",
    "xl = pd.read_excel('D:/code/python-learning/test.xlsx')\n",
    "xl,xl['1月']"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "%pip install openpyxl  #需要安装依赖项"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 106,
   "metadata": {},
   "outputs": [],
   "source": [
    "import matplotlib.pyplot as plt"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 109,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.collections.PathCollection at 0x217cacda790>"
      ]
     },
     "execution_count": 109,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#散点图\n",
    "plt.scatter([0,1],[0,1])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 111,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x217cb5bab50>]"
      ]
     },
     "execution_count": 111,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 折线图\n",
    "plt.plot([0,1,2],[0,1,-1])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 116,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x217cc787f10>]"
      ]
     },
     "execution_count": 116,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "c = np.array([[0,1],[2,0],[3,3]])\n",
    "plt.plot(c[:,0],c[:,1])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 120,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Axes: >"
      ]
     },
     "execution_count": 120,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# plt.plot(d)\n",
    "d.plot()\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "d0l",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.11.7"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
